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Finding the Fourth Proportional to 7,870.44, 11,801.28 and 3,649.08

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Solution

The fourth proportional to 7,870.44, 11,801.28 and 3,649.08 is: 5,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.44 : 11,801.28 = 3,649.08 : x
  2. Step 2: Convert to fraction form
    7,870.44/11,801.28 = 3,649.08/x
  3. Step 3: Cross multiply
    7,870.44x = 11,801.28 × 3,649.08
  4. Step 4: Simplify right side
    7,870.44x = 43,063,814.82
  5. Step 5: Solve for x
    x = 43,063,814.82/7,870.44
  6. Step 6: Final answer
    x = 5,471.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.